The former Celtic forward has urged caution when it comes to playing two up front.
Indeed, Sutton's view is an alternative one to that of another former Bhoy in Pierre van Hooijdonk, who believes boss Ronny Deila should play Leigh Griffiths and Nadir Ciftci up top together.
While Sutton feels a 4-4-2 could work domestically, he feels it will leave Celtic too expsed in European competition.
Indeed, he told the Record: "I believe they can play two centre-forwards in domestic games but after last season it was more important they found a way of playing in Europe and learned to be adaptable.
"It ultimately doesn’t matter what formation you play because you have to create chances and stop goals going in at the other end.
"Any side in world football is capable of having a disastrous 45 minutes and they just can’t be gung-ho. Celtic have to respect the strengths and threats of their opponents and adapt their own game as a consequence."
Clearly, there are a number of options available for Deila. The one he currently prefers - and the one Sutton backs - will see some strikers miss out.
Griffiths didn't start against Stjarnan but Ciftci will also pay the price of rotation one day. Chances also become fewer and further between for Stefan Scepovic and Anthony Stokes.
Over the course of a season, however, opportunities should spread themselves evenly between the four forwards (and any potential additions). But is Sutton right about European games or should Deila play two up top against sides like Stjarnan?